On the use of spatio-temporal multiresolution analysis in method of moments solutions of transient electromagnetic scattering

A novel method of moments approach to the solution of time-domain integral-equation formulation of electromagnetic scattering problems is presented. The method is based on a spatio-temporal multiresolution analysis. This analysis facilitates a basis from which a small number of expansion functions i...

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Veröffentlicht in:IEEE transactions on antennas and propagation 2001-08, Vol.49 (8), p.1123-1129
Hauptverfasser: Shifman, Y., Leviatan, Y.
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description A novel method of moments approach to the solution of time-domain integral-equation formulation of electromagnetic scattering problems is presented. The method is based on a spatio-temporal multiresolution analysis. This analysis facilitates a basis from which a small number of expansion functions is selected via an iterative procedure and utilized to model the unknown current distribution. In contrast to marching-on-in-time sequential procedures, the proposed method models the unknown current simultaneously at all the time steps within the time frame of interest. This new method is applied to a one-dimensional (1-D) problem of electromagnetic plane wave interaction with a dielectric slab. A comparison of the computed results with results based on the analytic solution demonstrates that the method is capable of attaining accurate results while achieving substantial reduction in computation time and resources.
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subjects Antennas
Computation
Electromagnetic scattering
Electromagnetic transients
Equations
Exact solutions
Finite difference methods
Frequency domain analysis
Mathematical models
Method of moments
Moment methods
Multiresolution analysis
Plane waves
Radar scattering
Time domain analysis
Transient analysis
title On the use of spatio-temporal multiresolution analysis in method of moments solutions of transient electromagnetic scattering
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